Question: Suppose an MA240 student has a 45 percent chance of obtaining an A in her statistics cause (event S), a 60 percent chance of obtaining an A in her biology course (event B), and an 80 percent chance of obtaining an A in at least one of her courses.

Determine each of the following probabilities. For each one, shade the appropriate areas on the Venn diagram and include a statement explaining what the probability represents. Show all calculations and use proper notation.

a) P(S n B)

b) P(S' n B')

c) P(S n B')

The probability of earning an A only in the statistics course is 0.2

See attachment for the question. (all a, b and c need to be done)

3. [6 marks] Suppose an ST230 student has a 45 percent chance of obtaining an A in her statistics course (event 3), a 60 percent chance of obtaining an A in her biology course (event B), and an 80 percent chance of obtaining an A in at least one of the courses. Determine each of the following probabilities. For each one, shade the appropriate areas on the Venn diagram and include a statement explaining what the probability represents. Show all calculations and use proper notation. (a) P(SnB) (b) P(S' n B')